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Simplifying 5(x + -4) + 3x = 8(x + 4) + -36 Reorder the terms: 5(-4 + x) + 3x = 8(x + 4) + -36 (-4 * 5 + x * 5) + 3x = 8(x + 4) + -36 (-20 + 5x) + 3x = 8(x + 4) + -36 Combine like terms: 5x + 3x = 8x -20 + 8x = 8(x + 4) + -36 Reorder the terms: -20 + 8x = 8(4 + x) + -36 -20 + 8x = (4 * 8 + x * 8) + -36 -20 + 8x = (32 + 8x) + -36 Reorder the terms: -20 + 8x = 32 + -36 + 8x Combine like terms: 32 + -36 = -4 -20 + 8x = -4 + 8x Add '-8x' to each side of the equation. -20 + 8x + -8x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + 0 = -4 + 8x + -8x -20 = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 = -4 + 0 -20 = -4 Solving -20 = -4 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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